{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "32276634-d638-4ff4-95ec-9bf76d8ac3a6",
   "metadata": {},
   "source": [
    "Chapter 03\n",
    "\n",
    "# 二元OLS线性回归\n",
    "Book_7《机器学习》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "64e25302-c9f8-4976-b4d2-57d9fe280748",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy.stats as stats\n",
    "import statsmodels.api as sm\n",
    "import yfinance as yf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ceafe39e-f523-4b98-9ff4-eee30c97a6cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "p = plt.rcParams\n",
    "p[\"font.sans-serif\"] = [\"Roboto\"]\n",
    "p[\"font.weight\"] = \"light\"\n",
    "p[\"ytick.minor.visible\"] = False\n",
    "p[\"xtick.minor.visible\"] = False\n",
    "p[\"axes.grid\"] = True\n",
    "p[\"grid.color\"] = \"0.5\"\n",
    "p[\"grid.linewidth\"] = 0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "71cddbd2-86fe-4f5b-a4d4-560dccbdc8a4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%%**********************]  3 of 3 completed\n"
     ]
    }
   ],
   "source": [
    "y_X_df = yf.download(['AAPL','MCD','^GSPC'], \n",
    "                     start='2020-01-01', \n",
    "                     end='2020-12-31')\n",
    "\n",
    "y_X_df.to_pickle('y_X_df.pkl')\n",
    "y_X_df = y_X_df['Adj Close'].pct_change()\n",
    "y_X_df.dropna(inplace = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c44ae4dc-1fd9-4d04-a7b8-41fd527161be",
   "metadata": {},
   "outputs": [],
   "source": [
    "y_X_df.rename(columns={\"^GSPC\": \"SP500\"},\n",
    "              inplace = True)\n",
    "\n",
    "X_df = y_X_df[['AAPL','MCD']]\n",
    "y_df = y_X_df[['SP500']]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e117bcd4-430f-40d4-8772-1282fa6cea43",
   "metadata": {},
   "source": [
    "## Data analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "85e2141c-84e5-447e-812b-8a92b86f45a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "ax.scatter(X_df[\"AAPL\"], X_df[\"MCD\"], y_df,\n",
    "           s = 8, alpha = 0.5)\n",
    "\n",
    "ax.set_xlabel('AAPL')\n",
    "ax.set_ylabel('MCD')\n",
    "ax.set_zlabel('SP500')\n",
    "ax.set_proj_type('ortho')\n",
    "ax.set_xlim([-0.15,0.15])\n",
    "ax.set_ylim([-0.15,0.15])\n",
    "ax.set_zlim([-0.15,0.15])\n",
    "plt.savefig('三维散点数据.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "58293f1f-15d4-4e6e-9b0f-14ad470ee0d8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x12a65bff340>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 750x750 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = sns.pairplot(y_X_df)\n",
    "g.map_upper(sns.scatterplot, color = 'b')\n",
    "g.map_lower(sns.kdeplot, levels=8, fill=True, cmap=\"viridis_r\") \n",
    "g.map_diag(sns.histplot, kde=False, color = 'b')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c4b1de95-aae8-4004-ad3b-5ec72b5b8556",
   "metadata": {},
   "source": [
    "## covariance matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "4ad3fbf0-97c9-4d58-9d7d-248b3bedbedb",
   "metadata": {},
   "outputs": [],
   "source": [
    "SIGMA = y_X_df.cov()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "15e35a45-55f3-4566-8ab9-34e3bc33a6f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(SIGMA, annot=True,cmap='RdBu_r')\n",
    "h.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "854c99b1-3d48-4f4e-a94d-4ca8fda718a7",
   "metadata": {},
   "source": [
    "## correlation matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2b34d956-c8d0-4489-bb22-a06af5a5757e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RHO = y_X_df.corr()\n",
    "\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(RHO, annot=True,cmap='RdBu_r')\n",
    "h.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "08c5ef76-ebb1-49fa-9253-122dbb4c592e",
   "metadata": {},
   "source": [
    "## Volatility vector space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "19b82363-47fe-4de2-8889-d49e430cc02c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Angles = np.arccos(RHO)*180/np.pi\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(Angles, annot=True,cmap='RdBu_r')\n",
    "h.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ebbd3e5-df8a-41f4-b098-bf7f27ca5e83",
   "metadata": {},
   "source": [
    "## Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ec695499-e880-4c97-817e-f6718ccceb3a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# add a column of ones\n",
    "X_df = sm.add_constant(X_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "db073c6f-3e0d-4bbf-a1a9-b72a2f90ceb0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:                  SP500   R-squared:                       0.830\n",
      "Model:                            OLS   Adj. R-squared:                  0.829\n",
      "Method:                 Least Squares   F-statistic:                     605.4\n",
      "Date:                Sat, 30 Dec 2023   Prob (F-statistic):           3.79e-96\n",
      "Time:                        13:33:44   Log-Likelihood:                 827.38\n",
      "No. Observations:                 251   AIC:                            -1649.\n",
      "Df Residuals:                     248   BIC:                            -1638.\n",
      "Df Model:                           2                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "==============================================================================\n",
      "                 coef    std err          t      P>|t|      [0.025      0.975]\n",
      "------------------------------------------------------------------------------\n",
      "const         -0.0006      0.001     -1.012      0.313      -0.002       0.001\n",
      "AAPL           0.3984      0.024     16.302      0.000       0.350       0.446\n",
      "MCD            0.4088      0.028     14.365      0.000       0.353       0.465\n",
      "==============================================================================\n",
      "Omnibus:                       37.594   Durbin-Watson:                   1.992\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              155.558\n",
      "Skew:                           0.495   Prob(JB):                     1.66e-34\n",
      "Kurtosis:                       6.728   Cond. No.                         59.4\n",
      "==============================================================================\n",
      "\n",
      "Notes:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "model = sm.OLS(y_df, X_df)\n",
    "results = model.fit()\n",
    "print(results.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6053eaa7-eea5-4412-ae85-de0af1dae45c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const   -0.000579\n",
      "AAPL     0.398361\n",
      "MCD      0.408765\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "p = model.fit().params\n",
    "print(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "8112feef-f8db-447d-b47e-8531d74b447f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# generate x-values for your regression line (two is sufficient)\n",
    "xx1,xx2 = np.meshgrid(np.linspace(-0.15,0.15,20), \n",
    "                      np.linspace(-0.15,0.15,20))\n",
    "\n",
    "yy = p.AAPL*xx1 + p.MCD*xx2 + p.const"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "fd376412-63e1-4742-9c4b-c0f851541eb5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "\n",
    "ax.scatter(X_df[\"AAPL\"], X_df[\"MCD\"], y_df,\n",
    "           s = 8, alpha = 0.5)\n",
    "ax.plot_wireframe(xx1, xx2, yy, color = 'r')\n",
    "ax.set_xlim([-0.15,0.15])\n",
    "ax.set_ylim([-0.15,0.15])\n",
    "ax.set_zlim([-0.15,0.15])\n",
    "ax.set_xlabel('AAPL')\n",
    "ax.set_ylabel('MCD')\n",
    "ax.set_zlabel('SP500')\n",
    "ax.set_proj_type('ortho')\n",
    "plt.savefig('三维散点数据 + 回归平面.svg')"
   ]
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